@article {
author = {Pandeya, Bashishth and Chaturvedi, Avanish and Gupta, Ashok},
title = {Applications of epi-retractable modules},
journal = {Bulletin of the Iranian Mathematical Society},
volume = {38},
number = {2},
pages = {469-477},
year = {2012},
publisher = {Iranian Mathematical Society (IMS)},
issn = {1017-060X},
eissn = {1735-8515},
doi = {},
abstract = {An R-module M is called epi-retractable if every submodule of MR is a homomorphic image of M. It is shown that if R is a right perfect ring, then every projective slightly compressible module MR is epi-retractable. If R is a Noetherian ring, then every epi-retractable right R-module has direct sum of uniform submodules. If endomorphism ring of a module MR is von-Neumann regular, then M is semi-simple if and only if M is epi-retractable. If R is a quasi Frobenius ring, then R is a right hereditary ring if and only if every injective right R-module is semi-simple. A ring R is semi-simple if and only if R is right hereditary and every epiretractable right R-module is projective. Moreover, a ring R is semi-simple if and only if R is a pri and von-Neumann regular.},
keywords = {Epi-retractable modules,semi-simple rings,Perfect rings,Hereditary rings,von-Numann regular rings},
url = {http://bims.iranjournals.ir/article_202.html},
eprint = {http://bims.iranjournals.ir/article_202_388757ddee7a3a67ab050c9a998e2049.pdf}
}